1. Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is ?

100

192

288

336

Answer: 288

Explanation:


2. The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is ?

2

3

4

5

Answer: 4

Explanation:


3. The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is ?

12

6

8

10

Answer: 8

Explanation:


4. HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is ?

70

77

63

56

Answer: 63

Explanation:


5. The number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is ?

4023

4032

4302

4203

Answer: 4032

Explanation:


6. The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 is ?

9828

9288

9882

9928

Answer: 9828

Explanation:


7. Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is ?

7

5

6

4

Answer: 7

Explanation:


8. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is ?

75

81

85

89

Answer: 85

Explanation:


9. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively ?

3013

3024

3002

3036

Answer: 3013

Explanation:


10. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is ?

12

24

30

120

Answer: 120

Explanation: